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Finding the Third Proportional to 4,683,857.50 and 7,025,784.50

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Solution

The third proportional to 4,683,857.50 and 7,025,784.50 is: 10,538,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683,857.50 : 7,025,784.50 = 7,025,784.50 : x
  2. Step 2: Convert to fraction form
    4,683,857.50/7,025,784.50 = 7,025,784.50/x
  3. Step 3: Cross multiply
    4,683,857.50x = 7,025,784.50 × 7,025,784.50
  4. Step 4: Simplify right side
    4,683,857.50x = 49,361,647,840,440.25
  5. Step 5: Solve for x
    x = 49,361,647,840,440.25/4,683,857.50
  6. Step 6: Final answer
    x = 10,538,674.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.